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Section 10.4. Arcs and Chords. Theorem 10.5. In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. Example 4. Perpendicular Diameter Theorem(10.6).

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Section 10 4

Section 10.4

Arcs and Chords


Theorem 10 5
Theorem 10.5

  • In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.



Perpendicular diameter theorem 10 6
Perpendicular Diameter Theorem(10.6)

  • If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.


Thm 10 7
Thm 10.7

  • If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.


Congruent chords theorem 10 8
Congruent Chords Theorem (10.8)

  • In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center.



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